Money

Finance calculator

Solve future value, periodic payment, interest rate, number of periods, or present value with a complete time-value-of-money schedule.

CALCULATOR

Enter your numbers

Instant results

TIME VALUE OF MONEY

N (# of periods)

I/Y (interest per year)

PV (present value)

PMT (periodic payment)

FV (future value)

FV RESULT-$9,455.36Based on the selected time-value-of-money assumptions

Sum of periodic payments-$20,000.00

Total interest-$9,455.36

VALUE OVER TIME

Cash flow path

Future value

View finance schedule ＋

Period	PV	PMT	Interest	FV
1	$20,000.00	-$2,000.00	$1,200.00	$19,200.00
2	$19,200.00	-$2,000.00	$1,152.00	$18,352.00
3	$18,352.00	-$2,000.00	$1,101.12	$17,453.12
4	$17,453.12	-$2,000.00	$1,047.19	$16,500.31
5	$16,500.31	-$2,000.00	$990.02	$15,490.33
6	$15,490.33	-$2,000.00	$929.42	$14,419.75
7	$14,419.75	-$2,000.00	$865.18	$13,284.93
8	$13,284.93	-$2,000.00	$797.10	$12,082.03
9	$12,082.03	-$2,000.00	$724.92	$10,806.95
10	$10,806.95	-$2,000.00	$648.42	$9,455.36

THE NUMORIX GUIDE

How to use the Finance calculator

Last reviewed September 14, 2026

What this calculator does

This is a time-value-of-money solver.

Formula and method

This is a time-value-of-money solver. It converts the annual I/Y rate into a rate per payment period using P/Y and C/Y, then applies the ordinary-annuity or annuity-due factor based on payment timing. The selected tab solves FV, PMT, I/Y, N, or PV while preserving the cash-flow signs entered for PV, PMT, and FV.

Variables and inputs

N is the number of periods, I/Y is annual interest in percent, PV is present value, PMT is the periodic payment, FV is future value, P/Y is payments per year, C/Y is compounds per year, and timing is beginning or end. Monetary signs represent cash-flow direction rather than positive or negative quality.

Worked example

To solve a payment for PV = $1,000, FV = $0, 12% I/Y, N = 12, P/Y = C/Y = 12, and end timing, r = 0.12 / 12 = 0.01. PMT = -(0 + 1000 x 1.01^12) / ((1.01^12 - 1) / 0.01) = about -$88.85; the negative sign marks the periodic outflow.

How to interpret the result

A result is meaningful only with a consistent sign convention and matching time units. Beginning payments receive one extra period in the factor. The schedule is an audit trail of each period's opening value, payment, interest, and future value, although the page's solved value may be the quantity shown in the hero result.

Common mistakes to avoid

Do not enter 12 for N merely because the rate is 12%; N is the number of payment periods. Match P/Y and C/Y to the rate convention, and do not remove a negative payment just because the displayed result looks less familiar.

Assumptions and limitations

The solver assumes a constant periodic rate and regular payments. It does not model taxes, fees, irregular cash flows, changing rates, day-count conventions, or a lender's rounding policy. Rate solving is numerical and uses the implementation's search range and sign relationship.

Sources and references

COMMON QUESTIONS

Frequently asked questions

What is the difference between P/Y and C/Y?

P/Y is how often a payment occurs. C/Y is how often interest compounds. They can differ, so the annual rate must be converted to the payment-period rate before the schedule is built.

Why is a payment often negative?

The sign identifies cash-flow direction. If a positive PV is money received, the payments returning that money are normally negative outflows.

What changes when payments occur at the beginning?

Each payment earns or avoids one additional period of interest compared with an end-of-period payment. That changes the annuity factor without changing the entered number of periods.